## Mathematical operation and symbol notation

#### Mathematical operation and symbol notation

Direction: In these question, the relationship between different element is shown in the statements. These statements are followed by two conclusions.

1. Statements:
Y < J = P ≥ R > I
Conclusions:
I. J > I II. Y < R
1. If only conclusion I follows
2. If only conclusion II follows
3. If either conclusion I or II follows
4. If neither conclusion I nor II follows
5. If both conclusion I and II follow.

1. Y < J = P ≥ R > I
I. J > I is true, II. Y < R is not true.

##### Correct Option: A

Y < J = P ≥ R > I
I. J > I is true, II. Y < R is not true.

1. Statements:
V ≥ K > M = N, M > S, T< K
Conclusions:
I. T < N II. V = S
1. If only conclusion I follows
2. If only conclusion II follows
3. If either conclusion I or II follows
4. If neither conclusion I nor II follows
5. If both conclusion I and II follow.

1. V ≥ K > M = N > S
K > T
I. T < N is not true, II. V = S is true.

##### Correct Option: D

V ≥ K > M = N > S
K > T
I. T < N is not true, II. V = S is true.

1. Statements:
F ≤ X < A, R < X ≤ F
Conclusions:
I. F ≤ E II. R < F
1. If only conclusion I follows
2. If only conclusion I follows
3. If either conclusion I or II follows
4. If neither conclusion I nor II follows
5. If both conclusion I and II follow.

1. Split them as F ≤ X ...(i) X < A ...(ii)
R < X ...(ii) and X ≤ E ...(iv)
Combining (i) and (iv) we get
F ≤ X ≤ F or F ≤ E.
Hence I follow.
From (i) and (iii) R and F can't be compared. Hence II does not follow.

##### Correct Option: A

Split them as F ≤ X ...(i) X < A ...(ii)
R < X ...(ii) and X ≤ E ...(iv)
Combining (i) and (iv) we get
F ≤ X ≤ F or F ≤ E.
Hence I follow.
From (i) and (iii) R and F can't be compared. Hence II does not follow.